'Home' in the full range and feeling of [Modern English] home is a conception that belongs distinctively to the word home and some of its Gmc. cognates and is not covered by any single word in most of the IE languages. [Buck]

Home stretch (1841) is originally a reference from horse racing. Home base in baseball attested by 1859 (home plate by 1867; home as the goal in a sport or game is from 1778). Home economics first attested 1899. Slang phrase make (oneself) at home "become comfortable in a place one does not live" dates from 1892. To keep the home fires burning is from a song title from 1914. To be nothing to write home about "unremarkable" is from 1907. Home movie is from 1919; home computer is from 1967.

1765, "to go home," from home (n.). Meaning "be guided to a destination by radio signals, etc. (of missiles, aircraft, etc.) is from 1920; it had been used earlier in reference to pigeons (1862). Related: Homed; homing. Old English had hamian "to establish in a home."